answer the following

5) If g is the function given by g(x) = 4x3 + 2x2 - 70x + 5, on which of the following intervals is g decreasing? a. (-00, -10) and (7, 00) b. (-00, -7) and (10, co) (-00, -10) (-10, 7) (-7, 10) x + 3x- 70=0 * +10 X - 7 x =-10) 7 X 7 18 -70 18 + 121+-33-70 =0 - 103 64+24-70 88 6) Let f be the function given by f(x) = , 7247 where k is a constant. For what values of k, if any, is f strictly decreasing on the interval (-1,1). 7) What are all values of x for which the function f defined by f (x) = (x2 - 3)e- is increasing? e (2x ) 8) The derivative g' of a function g is continuous and has exactly two zeros. Selected values of g' are given in the table below. If the domain of g is the set of all real numbers, then g is decreasing on which interval(s)? -1 2. 3 4 g (x 2 3 -3 2 02328